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" Any term may be transposed from one member of an equation to the other by changing its sign (1, 2). "
New University Algebra: A Theoretical and Practical Treatise, Containing ... - Σελίδα 86
των Horatio Nelson Robinson - 1863 - 420 σελίδες
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Advanced Algebra for Colleges and Schools

William James Milne - 1902 - 620 σελίδες
...changing a term from one member of an equation to the other is called Transposition. 72. PRINCIPLE. — A term may be transposed from one member of an equation to the other, provided its sign is changed. 73. A truth that does not need demonstration is called an Axiom. 74....

School Algebra

John Marvin Colaw - 1903 - 444 σελίδες
...disappeared from the second member, and appeared in the first, with a different sign before it. 39. Any term may be transposed from one member of an equation to the other by dropping it from the member in which it stands, and writing it in the other, with a different sign....

Elementary Algebra

John Henry Tanner - 1904 - 398 σελίδες
...transposing that term. It has doubtless been observed, in the solutions of the equations of § 24, that a term may be transposed from one member of an equation to the other by merely reversing its sign. This fact may be formally proved as follows : let any term of either member...

A First Book of Algebra

John William Hopkins, Patrick Healy Underwood - 1904 - 272 σελίδες
...12 + 3. Uniting like terms, (3) 3 x = 15, (4) x = 5. Axiom 5. From this solution it appears that a term may be transposed from one member of an equation to the other member by changing its sign. This process is called transposition. Accordingly, the above solution...

Elements of Algebra for Beginners

George Washington Hull - 1904 - 172 σελίδες
...one member of an equation to the other their signs are changed. Hence we have the following RULE. A term may be transposed from one member of an equation to the other. if at the same time the sign is changed. EXAMPLES Transpose and find the value of x in the following...

First Year in Algebra

Frederick Howland Somerville - 1905 - 222 σελίδες
...would have followed from transposing the 2 to the right member and changing its sign... Hence, 59. A term may be transposed from one member of an equation to the other member by changing its sign from + to - , or from - to +. We are now ready for the GENERAL METHOD FOR...

Algebra for Secondary Schools

Webster Wells - 1906 - 484 σελίδες
...case, the terms + a and — b are said to be transposed from the first member to the second. Hence, any term may be transposed from one member of an equation to the other by changing its sign. 86. It follows from § 85 that , If the same term occurs in both members of an equation affected mth...

Algebra for Secondary Schools

Webster Wells - 1906 - 550 σελίδες
...case, the terms + a and — 6 are said to be transposed from the first member to the second. Hence, any term may be transposed from one member of an equation to the other by changing its sign. 86. It follows from § 85 that If the same term occurs in both members of an equation affected with...

Progressive Arithmetic, Βιβλίο 3

William James Milne - 1906 - 364 σελίδες
...Explain transposition of terms in the following : 2x- 1=5; 2ж = 5-) 4 ж = 14 -3ж; 4 x + 3 x = 14. Any term may be transposed from one member of an equation to the other, provided its sign is changed. WRITTEN EXERCISES 222. 1. Solve the equation 2 x + 20 = 80 - 4 x. FIRST...

Progressive Arithmetic: Third Book, Βιβλίο 3

William James Milne - 1906 - 364 σελίδες
...transposition of terms in the following: 2x- 1=5; + 2=ll; 3 a; =11 -2. 4a;=14-3a;; 4 a; + 3 a; = 14. Any term may be transposed from one member of an equation to the other, provided its sign is changed. WRITTEN EXERCISES 222. 1. Solve the equation 2 x + 20 = 80 — 4 x. FIRST...




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